most citedApplication of the heat equation to the study of underground temperature

4 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

physics.comp-ph2025

Application of the Pathline Method to the Aircraft Reactor Experiment

Mathis Caprais, Nathan Greiner, André Bergeron

In this work, a new numerical method for the transport of Delayed Neutron Precursors (DNPs) is applied to the Aircraft Reactor Experiment (ARE). The pathline method is based on the…

physics.comp-ph2025

Stochastic Method for Delayed Neutron Precursors Transport in Liquid Fuel

Mathis Caprais, Daniele Tomatis

This paper presents a novel stochastic method for modeling the transport of Delayed Neutron Precursors (DNPs) in liquid nuclear fuel. The method incorporates advection and diffusio…

physics.comp-ph2024

An iterative scheme to include turbulent diffusion in advective-dominated transport of delayed neutron precursors

Mathis Caprais, André Bergeron

In this study, the Method of Characteristics (MOC) for Delayed Neutron Precursors (DNPs) is used to solve the precursors balance equation with turbulent diffusion. The diffusivity…

physics.comp-ph2024★ 1 cited

A new calculation method using pathlines for delayed neutron precursors in liquid nuclear fuels

Mathis Caprais, André Bergeron, Nathan Greiner +1

In nuclear reactors, Delayed Neutron Precursors (DNPs) are important for reactor safety and operation. In liquid nuclear fuels, DNPs are transported by the flow, and an advection-r…

physics.comp-ph2024

One-dimensional gas-fueled nuclear reactor with thermal feedback

Mathis Caprais, Kacim François-Elie, Daniele Tomatis

This study explores a simplified one-dimensional subchannel of a graphite-moderated nuclear reactor operating with a gaseous core in steady-state conditions, reproducing a neutroni…

physics.geo-ph2024★ 4 cited

Application of the heat equation to the study of underground temperature

Mathis Caprais, Oriane Shviro, Ugo Pensec +1

Modeling underground temperatures provides a practical application of the one-dimensional heat equation. In this work, the one-dimensional heat equation in surface soil is extended…